.30(24)+.05x=.15(24+x)

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Solution for .30(24)+.05x=.15(24+x) equation:


Simplifying
0.30(24) + 0.05x = 0.15(24 + x)

Multiply 0.30 * 24
7.2 + 0.05x = 0.15(24 + x)
7.2 + 0.05x = (24 * 0.15 + x * 0.15)
7.2 + 0.05x = (3.6 + 0.15x)

Solving
7.2 + 0.05x = 3.6 + 0.15x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.15x' to each side of the equation.
7.2 + 0.05x + -0.15x = 3.6 + 0.15x + -0.15x

Combine like terms: 0.05x + -0.15x = -0.1x
7.2 + -0.1x = 3.6 + 0.15x + -0.15x

Combine like terms: 0.15x + -0.15x = 0.00
7.2 + -0.1x = 3.6 + 0.00
7.2 + -0.1x = 3.6

Add '-7.2' to each side of the equation.
7.2 + -7.2 + -0.1x = 3.6 + -7.2

Combine like terms: 7.2 + -7.2 = 0.0
0.0 + -0.1x = 3.6 + -7.2
-0.1x = 3.6 + -7.2

Combine like terms: 3.6 + -7.2 = -3.6
-0.1x = -3.6

Divide each side by '-0.1'.
x = 36

Simplifying
x = 36

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